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Anybody who can help me with a differential?
The book mentions that a differential is 111pi. However, the differential I worked out after 30 minutes solving was 1.7pi. The question was:
Estimate the change in the volume of a cylinder, if the radius increases from 30 to 30.2, and the height decreases from 10 to 9.99. (HINT: V=pi r^2 h)
3 Answers
- shihhua123Lv 41 decade agoFavorite Answer
dV
= d (pi r^2 h)
= pi d (r^2 h)
= pi (2rh dr + r^2 dh)
= pi [ 2*30*10*(0.2) + 30^2 *(-0.01) ]
= pi [ 120 - 9 ]
= 111 pi